Structure of Normed Simple Annihilator Algebras

Sergey V. Ludkowski
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Sergey V. Ludkowski: Department of Appl. Mathematics, Moscow State Techn. Univ. MIREA, av. Vernadksy 78, Moscow 119454, Russia

Mathematics, 2019, vol. 7, issue 4, 1-10

Abstract: This article is devoted to normed simple annihilator algebras. Their structure is investigated in the paper. Maximal families of orthogonal irreducible idempotents of normed simple annihilator algebras are scrutinized. Division subalgebras of annihilator algebras are studied. Realizations of these algebras by operator algebras in Banach spaces are described. For this purpose, quasi finite dimensional operators are investigated.

Keywords: operator; algebra; norm; ideal; annihilator; infinite dimension; field (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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